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Finding the Third Proportional to 299,712 and 464,043

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Solution

The third proportional to 299,712 and 464,043 is: 718,476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,712 : 464,043 = 464,043 : x
  2. Step 2: Convert to fraction form
    299,712/464,043 = 464,043/x
  3. Step 3: Cross multiply
    299,712x = 464,043 × 464,043
  4. Step 4: Simplify right side
    299,712x = 215,335,905,849
  5. Step 5: Solve for x
    x = 215,335,905,849/299,712
  6. Step 6: Final answer
    x = 718,476.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.